write an algebraic expression that represents eight times the sum of y squared and twenty-eight

The algebraic expression that represents eight times the sum of y squared and twenty-eight is:

8(y^2 + 28)

The algebraic expression that represents eight times the sum of y squared and twenty-eight can be written as follows:

8(y^2 + 28)

To write an algebraic expression that represents eight times the sum of y squared and twenty-eight, you can start by translating each part of the sentence into mathematical symbols.

Let's break it down step by step:

Step 1: Represent "eight times the sum of y squared" as 8(y^2). Here, the letter "y" represents the variable, and "^2" indicates squaring.

Step 2: The phrase "and twenty-eight" implies that we need to add 28 to the previous expression. So, we can add + 28 to 8(y^2).

Putting it all together, the algebraic expression becomes:

8(y^2) + 28

That's the final expression that represents eight times the sum of y squared and twenty-eight.